Ivan had 119 passion fruits and 168 pomegranates at first. He used ⁴₇ of the passion fruits and ³₇ of the pomegranates. He then bought some more pomegranates. In the end, ¹₇ of the fruits he had left were passion fruits. How many pomegranates did he buy?

	Passion Fruits	Pomegranates	Total
Before	119	168
Change 1	- 68	- 72
After 1	51	96
Change 2		+ some
After 2	1 u	6 u	7 u

Number of passion fruits that Ivan used
= ⁴₇ x 119
= 68

Number of passion fruits that Ivan had left
= 119 - 68
= 51

Number of pomegranates that Ivan used
= ³₇ x 168
= 72

Number of pomegranates that Ivan had left
= 168 - 72
= 96

Fraction of the fruits left that were pomegranates
= 1 - ¹₇
= ⁶₇

Number of passion fruits left = 1 u = 51

Number of pomegranates left in the end
= 6 u
= 6 x 51
= 306

Number of pomegranates that Ivan bought
= 306 - 96
= 210

Answer(s): 210